7916493312 has 960 divisors, whose sum is σ = 31347993600. Its totient is φ = 1950842880.

The previous prime is 7916493287. The next prime is 7916493329. The reversal of 7916493312 is 2133946197.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 255370737 + ... + 255370767.

It is an arithmetic number, because the mean of its divisors is an integer number (32654160).

Almost surely, 2^7916493312 is an apocalyptic number.

7916493312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7916493312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15673996800).

7916493312 is an abundant number, since it is smaller than the sum of its proper divisors (23431500288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7916493312 is a wasteful number, since it uses less digits than its factorization.

7916493312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 85 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 7916493312 is about 88974.6779258009. The cubic root of 7916493312 is about 1993.0167548555.

The spelling of 7916493312 in words is "seven billion, nine hundred sixteen million, four hundred ninety-three thousand, three hundred twelve".